Least Common Multiple of 2074/80, 7457/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2074/80, 7457/660 quickly i.e. 15465818/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2074/80, 7457/660 is 15465818/20.

LCM(2074/80, 7457/660) = 15465818/20

LCM of 2074/80, 7457/660

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 2074/80,7457/660

Given numbers are 2074/80,7457/660

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 2074,7457

Least Common Multiple of Numerators i.e. LCM of 2074,7457 is 15465818.

GCF of Denominators means GCF of 80,660 as per the given fractions.

GCF of 80,660 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2074,7457

LCM of Fractions 2074/80,7457/660 is 15465818/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 15465818

Least Common Multiple of 2074,7457 with GCF Formula

Least Common Multiple of 2074,7457 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 2074,7457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2074,7457) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(2074,7457) x common factors =1 x 1 = 1

LCM(2074,7457) = ( 2074 × 7457 ) / 1

LCM(2074,7457) = 15465818 / 1

LCM(2074,7457) = 15465818


Lets's calculate GCF of 80,660

2 80, 660
2 40, 330
5 20, 165
4, 33

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15465818/20

Therefore the LCM of Fractions 2074/80,7457/660 is 15465818/20

Greatest Common Factor of 80,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,660 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 80,660 . The biggest common factor number is the GCF number.
So the greatest common factor 80,660 is 20.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 2074/80, 7457/660

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 2074/80, 7457/660?

Answer: LCM of Numerators as per given numbers 2074/80, 7457/660 is

LCM of Numerators i.e. for 2074,7457 is 15465818

GCF of denominators i.e. for 80,660 is 20.

Thus, LCM of Fractions is 15465818/20.Finally, LCM of Fractions for 2074/80, 7457/660 is 15465818/20.